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Finding the Fourth Proportional to 1,258.64, 1,877.73 and 1,190.60

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Solution

The fourth proportional to 1,258.64, 1,877.73 and 1,190.60 is: 1,776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.64 : 1,877.73 = 1,190.60 : x
  2. Step 2: Convert to fraction form
    1,258.64/1,877.73 = 1,190.60/x
  3. Step 3: Cross multiply
    1,258.64x = 1,877.73 × 1,190.60
  4. Step 4: Simplify right side
    1,258.64x = 2,235,615.95
  5. Step 5: Solve for x
    x = 2,235,615.95/1,258.64
  6. Step 6: Final answer
    x = 1,776.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.